The divisibility tests depend on the number being expressed in base ten. The tests are properties of the numeration system rather than of the numbers. Find examples with numbers in base five to show that, say, the (base-ten) divisibility test for 2 does not work in base five. You will want to find a number for which 2 is (or is not) a factor but whose base-five representation does (or does not) satisfy the divisibility test for 2 that you know for base ten.

For the given data set, (a) Draw a scatter plot. (b) Find the value for $r$. $(c)$ Test the significance of $r$ at the $5 \%$ level and at the $1 \%$ level. (d) Find the equation of the regression line and draw the line on the scatter plot, but only if $r$ is significant. (e) Describe the nature of the relationship if one exists.

If $1.000 \mathrm{~L}$ of $0.1500 \mathrm{M} \mathrm{NaOH}$ is unprotected from the air after standardization and absorbs $11.2$ $\mathrm{mmol}$ of $\mathrm{CO}_2$, what will be its new molarity when it is standardized against a standard solution of $\mathrm{HCl}$ using

(a) phenolphthalein?

(b) bromocresol green?

What is the law of reflection for sound?

Marian Abelt tests video games. She earns $8.125 per hour. Last week she worked 35.50 hours. What was her straight-time pay?

Choose the term that describes the best following statement: An objective evaluation of a party’s ability to pay debts _______. a. artisan’s lien; b. bankruptcy; c. credit rating; d. finance charge; e. garnishment; f. guarantor; g. insolvent; h. involuntary bankruptcy; i. lien; j. mechanic’s lien; k. pawn; l. pledgee; m. pledgor; n. principal debtor; o. surety; p. suretyship; q. unsecured debt; r. voluntary bankruptcy

Are the following statements true or false? Explain your reasoning.

a. "If we see a standardized $z$-value beyond $\pm 3$, the variable cannot be normally distributed."

b. "If $X$ and $Y$ are two normally distributed random variables measured in different units (e.g., $X$ is in pounds and $Y$ is in kilograms), then it is not meaningful to compare the standardized $z$-values."

c. "Two machines fill 2 -liter soft drink bottles by using a similar process. Machine $A$ has $\mu=1,990 \mathrm{ml}$ and $\sigma=5 \mathrm{ml}$ while Machine $B$ has $\mu=1,995 \mathrm{ml}$ and $\sigma=3 \mathrm{ml}$. The variables cannot both be normally distributed since they have different standard deviations."

Draw three lines under each lowercase letter that should be capitalized. the building on the corner of lake street and green avenue is called the columbus environmental center.

The speaker in each of Momaday's poems expresses poignant feelings for nature and for animals. Yet each speaker expresses his or her feelings and ideas in a different style and form. How did you respond to each speaker? Review these poems, paying careful attention to each speaker. Then answer the following questions:

What clues are given to help you identity each speaker?

Determine whether the following series converge or diverge using the properties and tests introduced in the sections. $\sum_{k=1}^{\infty} \frac{3^{k}}{k^{2}+1}$

Functional foods are those that have been enhanced with nutrients that promote good health, such as orange juice fortified with calcium or cereal fortified with vitamins. Even if there are more functional foods on the market, it is still unclear how the next generation of customers will react to them. Because of this, a questionnaire was given to college students from the United States, Canada, and France. 16 This questionnaire measured the students' attitudes and beliefs about general food and functional food. One of the response variables collected concerned cooking enjoyment. This variable was the average of numerous items, each measured on a 10 -point scale, where $1=$ most negative value and $10=$ most positive value. Here are the means:

(a) Make a plot of the means and describe the patterns that you see. (b) Does the plot suggest that there is an interaction between culture and gender? If your answer is Yes, describe the interaction.

Only a few tests have been used to predict how happy people \viii be with their lives or how successful they will be in their careers. Explain why you think this may be the case.

What is the iron law of oligarchy?

Discuss the Japanese strategy used at Leyte Gulf and elsewhere in the Philippines toward the end of the war. What does this information suggest about the Japanese point of view during these battles?